授業情報/Course information

開講学期/Course Start 2017年度/Academic Year   後期/Second
開講曜限/Class period 木/Thu 5 , 木/Thu 6
授業区分/Regular or Intensive 週間授業
対象学科/Department
対象学年/Year 1年 , 2年
授業科目区分/Category 博士前期課程 大学院自専攻科目
必修・選択/Mandatory or Elective 選択
授業方法/Lecture or Seminar
授業科目名/Course Title 固体物性学
単位数/Number of Credits 2
担当教員名/Lecturer 戎  修二 (応用理化学系学科応用物理コース)
時間割コード/Registration Code MP228
連絡先/Contact
オフィスアワー/Office hours
更新日/Date of renewal 2017/02/15
授業のねらい
/Learning Objectives
Solids are classified into crystalline and amorphous substances. We deal with crystalline solids in this lecture. The function of most electronic materials originates from the outer-shell electronic states in constituent atoms, which are greatly affected by configuration of surrounding atoms, namely a symmetry of the crystal structure. The application of the study “group theory”, which deals with symmetry, in solid state physics is useful. You may occasionally encounter difficulties about understandings of expressions in articles related to solid state physics because of your lack of knowledge about the group theory. Aims of this lecture are learning of basis of the group theory, being familiar with its expressions and learning of its application in solid state physics.
到達度目標
/Outcomes Measured By:
1. Ability to explain about importance of symmetry when dealing with crystalline solids
2. Ability to explain concept of group
3. Ability to transform functions by symmetry operations
4. Understandings of irreducible representations
5. Ability to explain about space group
6. Understanding how to apply the group theory in solid state physics
授業計画
/Course Schedule
Total lecture hours (actual time): 22.5 hours
No. 1 Symmetry and group
No. 2 Usefulness of group theory
No. 3 Concept of group, Multiplication table, Subgroup, Conjugate elements, Class
No. 4 Transformation of functions associated with symmetry operations
No. 5 Representation and basis of group, Reducible representations, Irreducible representations
No. 6 Application in quantum mechanics
No. 7 Product representation and selection rule
No. 8 Point groups
No. 9 Molecular vibration
No. 10 Electronic states of molecules
No. 11 Spin and double-valued representation
No. 12 Product symmetric representation and product antisymmetric representation
No. 13 Crystalline symmetry
No. 14 Reduction of J multiplet to irreducible representation by crystalline electric field
No. 15 Influence of crystalline electric field on magnetism of compounds
教科書
/Required Text
物性物理/物性化学のための群論入門 小野寺嘉孝著  裳華房 1996(ISBN:4785328061)
参考書等
/Required Materials
Group theory and its applications in physics T. Inui, Y. Tanabe, Y. Onodera  Springer-Verlag 1996(ISBN:3540604456)
Introduction to group theory with applications Gerald Burns  Academic Press 1977(ISBN:0121457508)
物性物理学のための群論入門 G. バーンズ著 ; 中村輝太郎, 澤田昭勝訳  培風館 1983(ISBN:4563021539)
応用群論 : 群表現と物理学 犬井鉄郎, 田辺行人, 小野寺嘉孝共著  裳華房 1980(ISBN:9784785328016)
物質の対称性と群論 今野豊彦著  共立出版 2001(ISBN:4320034090)
成績評価方法
/Grading Guidelines
The score of each student is evaluated by report. A grade of more than 60 is accepted for two credits.
履修上の注意
/Notices
It is recommended to review quantum mechanics.
教員メッセージ
/Message from Lecturer
Expressions related to group theory are often used without any notice in papers or books on solid state physics. Although they are not so difficult, you would recognize them to be abstruse if you were not familiar with group theory and you would not able to go ahead anymore. We will start from the basis, such as 'What is symmetry?' or 'What is group theory?'. Applications of group theory in solid state physics will be lectured. I hope you will able to read articles related to solid state physics in detail.
Exercises will be also done in order to understand deeply, so the program might not be finished. However, I hope you will finish reading of the textbook and apply group theory in your research.
学習・教育目標との対応
/Learning and Educational Policy
Professional skills in applied physics
備考
/Notes
The course will be conducted in English if there are foreign students who register English courses.
No. 回(日時)
/Time (date and time)
主題と位置付け(担当)
/Subjects and instructor's position
学習方法と内容
/Methods and contents
備考
/Notes
該当するデータはありません
Active learning 1-1
/主体的学修(予復習,反転授業,小テスト,振り返り 等)
Active learning 1-2
/上記項目に係るALの度合い
15%未満
Active learning 2-1
/対話的学修(グループ学習,協働,調査体験 等)
Active learning 2-2
/上記項目に係るALの度合い
該当なし
Active learning 3-1
/深い学修(複数科目の知識の総合化や問題解決型学修 等)
Active learning 3-2
/上記項目に係るALの度合い
該当なし